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RESEARCH PRODUCT
THREE-D SINGLETONS AND 2-D C.F.T.
A.m. Harun Ar-rashidMoshé FlatoChristian Fronsdalsubject
PhysicsNuclear and High Energy PhysicsSingletonScalar (mathematics)Lie groupWess–Zumino–Witten modelAstronomy and AstrophysicsAtomic and Molecular Physics and OpticsHigh Energy Physics::TheoryCompact groupBoundary value problemGauge theoryScalar fieldMathematical physicsdescription
Two-dimensional Wess-Zumino-Novikov-Witten theory is extended to three dimensions, where it becomes a scalar gauge theory of the singleton type. The three-dimensional formulation involves a scalar field valued in a compact group G, a Nakanishi-Lautrup field valued in Lie (G) and Faddeev-Popov ghosts. The physical sector, characterized by the vanishing of the Nakanishi-Lautrup field, coincides with the WZNW theory of the group G. Three-dimensional space-time structure involves a generalized metric, but only its boundary values are of consequence. An alternative formulation in terms of left and right movers (in three dimensions!) is also possible.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-04-20 | International Journal of Modern Physics A |